Modified bounds for covering codes

DOI10.1109/18.75253zbMath0721.94023OpenAlexW2140050124MaRDI QIDQ5753891

Iiro S. Honkala

Publication date: 1991

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.75253

zbMATH Keywords

covering radiusbinary codenormal and abnormal codesminimal number of codewordss-surjective matricesvan Wee lower bounds

Mathematics Subject Classification ID

Bounds on codes (94B65) Combinatorial codes (94B25)

Related Items (17)

Lower bounds for \(q\)-ary coverings by spheres of radius one ⋮ On \((p,1)\)-subnormal \(q\)-ary covering codes ⋮ Long binary narrow-sense BCH codes are normal ⋮ Further results on the covering radius of small codes ⋮ Binary codes with covering radius one: Some new lower bounds ⋮ New upper bounds for binary covering codes ⋮ Bounds on packings and coverings by spheres in \(q\)-ary and mixed Hamming spaces ⋮ Optimal constant weight covering codes and nonuniform group divisible 3-designs with block size four ⋮ All binary codes with covering radius one are subnormal ⋮ Frequency computation and bounded queries ⋮ A Graham-Sloane type construction for \(s\)-surjective matrices ⋮ Bounds on the sizes of constant weight covering codes ⋮ Bounds for binary multiple covering codes ⋮ Upper bounds for football pool problems and mixed covering codes ⋮ Partial sums of binomials, intersecting numbers, and the excess bound in Rosenbloom-Tsfasman space ⋮ Bounds for covering codes over large alphabets ⋮ On the normality of multiple covering codes

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